MAESTRÍA EN CIENCIA DE DATOS
Proyecto final de Álgebra lineal
Indice de marginación municipal en México, 2020
Por:
Daniel Eduardo Vázquez Espinoza
Profesora
Dr. Olivia Gutú
Por:
Daniel Eduardo Vázquez Espinoza
Profesora
Dr. Olivia Gutú
Primero cargaremos todas las librerias que utilizaremos a lo largo del documento.
pip install --upgrade xlrd
Requirement already satisfied: xlrd in c:\users\vazqu\anaconda3\lib\site-packages (2.0.1) Note: you may need to restart the kernel to use updated packages.
%config IPCompleter.greedy=True
import pandas as pd
import numpy as np
import xlrd
import seaborn as sb
import matplotlib.pyplot as plt
from matplotlib.ticker import PercentFormatter
from numpy.linalg import matrix_rank
from sklearn.preprocessing import StandardScaler
import plotly.express as px
from sklearn.linear_model import LinearRegression
from sklearn.decomposition import PCA
from sklearn import linear_model
from sklearn.metrics import mean_squared_error, r2_score
from sklearn.linear_model import LinearRegression
Descarga el archivo adjunto MARGINACION_AGEBS_2020.xls
y crea un dataframe de nombre df_INDICE.
df_indice=pd.read_excel("C:\\Users\\vazqu\\final algebra\\MARGINACION_AGEBS_2020.xls")
print("Las dimensiones de la base de datos son",df_indice.shape,".")
print("vista rapida del data frame")
print(df_indice.head())
Las dimensiones de la base de datos son (50790, 23) .
vista rapida del data frame
CVE_AGEB ENT NOM_ENT MUN NOM_MUN LOC \
0 0100100010017 1 Aguascalientes 1 Aguascalientes 1
1 010010001006A 1 Aguascalientes 1 Aguascalientes 1
2 0100100010106 1 Aguascalientes 1 Aguascalientes 1
3 0100100010163 1 Aguascalientes 1 Aguascalientes 1
4 0100100010182 1 Aguascalientes 1 Aguascalientes 1
NOM_LOC AGEB POB_TOT P6A14NAE ... OVSEE OVSAE OVPT \
0 Aguascalientes 0017 2237 13.076923 ... 0.357942 0.0 0.089485
1 Aguascalientes 006A 1411 0.800000 ... 0.000000 0.0 0.000000
2 Aguascalientes 0106 2962 3.157895 ... 0.000000 0.0 0.135318
3 Aguascalientes 0163 2698 2.788845 ... 0.000000 0.0 0.148478
4 Aguascalientes 0182 2218 1.759531 ... 0.000000 0.0 0.452489
OVHAC OVSREF OVSINT OSCEL IM_2020 GM_2020 IMN_2020
0 32.035794 19.239374 71.543624 3.445190 119.325886 Medio 0.932129
1 2.055280 0.000000 2.763997 0.566974 125.820757 Muy bajo 0.982865
2 5.538669 0.371496 17.223911 0.810537 125.749891 Muy bajo 0.982311
3 12.008895 1.890289 34.395849 1.000741 125.074122 Muy bajo 0.977032
4 0.588235 0.226860 1.719457 0.271493 126.020458 Muy bajo 0.984425
[5 rows x 23 columns]
A partir de df_INDICE crea el data frame
df_FEATURES con las 11 variables de marginación:
features = ['P6A14NAE', 'SBASC', 'PSDSS', 'OVSDE', 'OVSEE', 'OVSAE', 'OVPT', 'OVHAC', 'OVSREF', 'OVSINT', 'OSCEL']
##Definimos un vector con las variables de importancia
features = ['P6A14NAE', 'SBASC', 'PSDSS', 'OVSDE', 'OVSEE', 'OVSAE', 'OVPT', 'OVHAC', 'OVSREF', 'OVSINT', 'OSCEL']
##Creamos nuestra sub-matriz
df_features=df_indice[features]
print(df_features.head())
P6A14NAE SBASC PSDSS OVSDE OVSEE OVSAE OVPT \
0 13.076923 22.976680 20.161290 0.0 0.357942 0.0 0.089485
1 0.800000 5.203406 21.093750 0.0 0.000000 0.0 0.000000
2 3.157895 3.525488 13.193505 0.0 0.000000 0.0 0.135318
3 2.788845 7.623049 12.638992 0.0 0.000000 0.0 0.148478
4 1.759531 2.951192 18.366426 0.0 0.000000 0.0 0.452489
OVHAC OVSREF OVSINT OSCEL
0 32.035794 19.239374 71.543624 3.445190
1 2.055280 0.000000 2.763997 0.566974
2 5.538669 0.371496 17.223911 0.810537
3 12.008895 1.890289 34.395849 1.000741
4 0.588235 0.226860 1.719457 0.271493
Explora tus datos df_INDICE
graf1="Grafica 01. Niños de 6 a 14 que no van a la escuela por Entidad"
fig = px.scatter(df_indice,x="NOM_ENT", y="P6A14NAE", color_discrete_sequence=['blue'], marginal_x='violin', marginal_y='violin',title = graf1)
fig.show()
graf2="Grafica 02. Porcentaje de la poblacion que no son derechohabientes al servicio de salud por Entidad"
fig = px.scatter(df_indice,x="NOM_ENT", y="PSDSS", color_discrete_sequence=['blue'], marginal_x='violin', marginal_y='violin',title = graf2)
fig.show()
A partir de aqui ya se pueden ver algunos patrones entre las dos relaciones que escogimos. salud publica vs educacion.
Construye 3 matrices con 3 columnas de df_INDICE de rango 1, 2 y 3, de dimensiones 50790×3.
Grafica esas tres matrices de datos en 3D.
print("El rango de la matriz de_features es",matrix_rank(df_features))
El rango de la matriz de_features es 11
Como vemos esta matriz es de rango 11 por cual todos sus vectores son linealmente independiente, por lo cualquier submatriz de 3 columnas que contruya sera de rango 3.
##Variables a elegir
features_1=['P6A14NAE','OVSDE','OVPT']
##rango de la matriz
df_features_1=df_features[features_1]
print("el rango es",matrix_rank(df_features_1))
print(df_features_1.head())
el rango es 3
P6A14NAE OVSDE OVPT
0 13.076923 0.0 0.089485
1 0.800000 0.0 0.000000
2 3.157895 0.0 0.135318
3 2.788845 0.0 0.148478
4 1.759531 0.0 0.452489
Grafico 3D de las variables elegidas.
color_map = plt.get_cmap('cool')
plt.rcParams["figure.figsize"] = [25, 10]
plt.rcParams["figure.autolayout"] = True
fig = plt.figure()
ax = fig.add_subplot(projection='3d')
ax.scatter(df_features_1['P6A14NAE'], df_features_1['OVSDE'], df_features_1['OVPT'],c=(df_features_1['P6A14NAE']+ df_features_1["OVSDE"]+ df_features_1['OVPT']),cmap = color_map)
ax.set_title('Submatriz', fontsize=20)
ax.set_xlabel('P6A14NAE',fontsize=15,rotation=150)
ax.set_ylabel('OVSDE',fontsize=15,rotation=60)
ax.set_zlabel('OVPT',fontsize=15,rotation=60)
plt.show()
2.1 Decide si las columnas POB_TOT (población total) y IM_2020 de df_INDICE definen una función o no. Justifica tu respuesta
graf3="Poblacion total vs Indice de Marginacion 2020"
fig = px.scatter(df_indice,x="POB_TOT", y="IM_2020", color_discrete_sequence=['blue'], marginal_x='histogram', marginal_y='histogram',opacity=0.7,title = graf3)
fig.show()
Viendo la grafica podemos ver un patron que tal vez no puede dar un funcion que represente nuestros datos con cierto margen de error razonable. Pero si se necesita un estudio mas detallado.
2.2. Agrupa todas las AGEBS por población total y asigna la media del índice de marginación de cada grupo AGEB. Decide si la relación POB_TOT → IM_2020.mean es una función.
##Creamos una tabla auxiliar
df_aux=df_indice[["AGEB","POB_TOT","IM_2020"]].sort_values("AGEB").reset_index()
print(df_aux)
index AGEB POB_TOT IM_2020 0 33867 0010 718 121.390988 1 21955 0010 798 124.224323 2 34580 0010 1195 119.968465 3 34238 0010 1075 116.176524 4 8988 0010 3183 122.711086 ... ... ... ... ... 50785 667 9903 135 125.132341 50786 705 9918 384 119.721772 50787 707 9956 903 115.560084 50788 708 9960 735 115.874662 50789 709 9975 1301 116.231308 [50790 rows x 4 columns]
Notemos que aunque los AGEB Sean iguales la poblacion tontal es diferente.
IM_2020_mean=[]
df_aux.index[df_aux["AGEB"]=="0010"].tolist()[-1]
ageb=list(df_aux["AGEB"])
ageb_set=[]
#Obtenemos una lista ordenada de AGEBS sin repetir
for element in ageb:
if element not in ageb_set:
ageb_set.append(element)
print(ageb_set)
['0010', '0011', '0012', '0013', '0014', '0015', '0016', '0017', '0018', '0019', '001A', '0020', '0021', '0022', '0023', '0024', '0025', '0026', '0027', '0028', '0029', '002A', '0030', '0031', '0032', '0033', '0034', '0035', '0036', '0037', '0038', '0039', '003A', '0040', '0041', '0042', '0043', '0044', '0045', '0046', '0047', '0048', '0049', '004A', '0050', '0051', '0052', '0053', '0054', '0055', '0056', '0057', '0058', '0059', '005A', '0060', '0061', '0062', '0063', '0064', '0065', '0066', '0067', '0068', '0069', '006A', '0070', '0071', '0072', '0073', '0074', '0075', '0076', '0077', '0078', '0079', '007A', '0080', '0081', '0082', '0083', '0084', '0085', '0086', '0087', '0088', '0089', '008A', '0090', '0091', '0092', '0093', '0094', '0095', '0096', '0097', '0098', '0099', '009A', '0100', '0101', '0102', '0103', '0104', '0105', '0106', '0107', '0108', '0109', '010A', '0110', '0111', '0112', '0113', '0114', '0115', '0116', '0117', '0118', '0119', '011A', '0120', '0121', '0122', '0123', 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'1488', '1489', '148A', '1490', '1491', '1492', '1493', '1494', '1495', '1496', '1497', '1498', '1499', '149A', '1500', '1501', '1502', '1503', '1504', '1505', '1506', '1507', '1508', '1509', '150A', '1510', '1511', '1512', '1513', '1514', '1515', '1516', '1517', '1518', '1519', '151A', '1520', '1521', '1522', '1523', '1524', '1525', '1526', '1527', '1528', '1529', '152A', '1530', '1531', '1532', '1533', '1534', '1535', '1536', '1537', '1538', '1539', '153A', '1540', '1541', '1542', '1543', '1544', '1545', '1546', '1547', '1548', '1549', '154A', '1550', '1551', '1552', '1553', '1554', '1555', '1556', '1557', '1558', '1559', '155A', '1560', '1561', '1562', '1563', '1564', '1565', '1566', '1567', '1568', '1569', '156A', '1570', '1571', '1572', '1573', '1574', '1575', '1576', '1577', '1578', '1579', '157A', '1580', '1581', '1582', '1583', '1584', '1585', '1586', '1587', '1588', '1589', '158A', '1590', '1591', '1592', '1593', '1594', '1595', '1596', '1597', '1598', '1599', '159A', '1600', 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'1715', '1716', '1717', '1718', '1719', '171A', '1720', '1721', '1722', '1723', '1724', '1725', '1726', '1727', '1728', '1729', '172A', '1730', '1731', '1732', '1733', '1734', '1735', '1736', '1737', '1738', '1739', '173A', '1740', '1741', '1742', '1743', '1744', '1745', '1746', '1747', '1748', '1749', '174A', '1750', '1751', '1752', '1753', '1754', '1755', '1756', '1757', '1758', '1759', '175A', '1760', '1761', '1762', '1763', '1764', '1765', '1766', '1767', '1768', '1769', '176A', '1770', '1771', '1772', '1773', '1774', '1775', '1776', '1777', '1778', '1779', '177A', '1780', '1781', '1782', '1783', '1784', '1785', '1786', '1787', '1788', '1789', '178A', '1790', '1791', '1792', '1793', '1794', '1795', '1796', '1797', '1798', '1799', '179A', '1800', '1801', '1802', '1803', '1804', '1805', '1806', '1807', '1808', '1809', '180A', '1810', '1811', '1812', '1813', '1814', '1815', '1816', '1817', '1818', '1819', '181A', '1820', '1821', '1822', '1823', '1824', '1825', '1826', '1827', '1828', 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'1942', '1943', '1944', '1945', '1946', '1947', '1948', '1949', '194A', '1950', '1951', '1952', '1953', '1954', '1955', '1956', '1957', '1958', '1959', '195A', '1960', '1961', '1962', '1963', '1964', '1965', '1966', '1967', '1968', '1969', '196A', '1970', '1971', '1972', '1973', '1974', '1975', '1976', '1977', '1978', '1979', '197A', '1980', '1981', '1982', '1983', '1984', '1985', '1986', '1987', '1988', '1989', '198A', '1990', '1991', '1992', '1993', '1994', '1995', '1996', '1997', '1998', '1999', '199A', '2000', '2001', '2002', '2003', '2004', '2005', '2006', '2007', '2008', '2009', '200A', '2010', '2011', '2012', '2013', '2014', '2015', '2016', '2017', '2018', '2019', '201A', '2020', '2021', '2022', '2023', '2024', '2025', '2026', '2027', '2028', '2029', '202A', '2030', '2031', '2032', '2033', '2034', '2035', '2036', '2037', '2038', '2039', '203A', '2040', '2041', '2042', '2043', '2044', '2045', '2046', '2047', '2048', '2049', '204A', '2050', '2051', '2052', '2053', '2054', '2055', '2056', '2057', '2058', '2059', '205A', '2060', '2061', '2062', '2063', '2064', '2065', '2066', '2067', '2068', '2069', '206A', '2070', '2071', '2072', '2073', '2074', '2075', '2076', '2077', '2078', '2079', '207A', '2080', '2081', '2082', '2083', '2084', '2085', '2086', '2087', '2088', '2089', '208A', '2090', '2091', '2092', '2093', '2094', '2095', '2096', '2097', '2098', '2099', '209A', '2100', '2101', '2102', '2103', '2104', '2105', '2106', '2107', '2108', '2109', '210A', '2110', '2111', '2112', '2113', '2114', '2115', '2116', '2117', '2118', '2119', '211A', '2120', '2121', '2122', '2123', '2124', '2125', '2126', '2127', '2128', '2129', '212A', '2130', '2131', '2132', '2133', '2134', '2135', '2136', '2137', '2138', '2139', '213A', '2140', '2141', '2142', '2143', '2144', '2145', '2146', '2147', '2148', '2149', '214A', '2150', '2151', '2152', '2153', '2154', '2155', '2156', '2157', '2158', '2159', '215A', '2160', '2161', '2162', '2163', '2164', '2165', '2166', '2167', '2168', '2169', 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'2285', '2286', '2287', '2288', '2289', '228A', '2290', '2291', '2292', '2293', '2294', '2295', '2296', '2297', '2298', '2299', '229A', '2300', '2301', '2302', '2303', '2304', '2305', '2306', '2307', '2308', '2309', '230A', '2310', '2311', '2312', '2313', '2314', '2315', '2316', '2317', '2318', '2319', '231A', '2320', '2321', '2322', '2323', '2324', '2325', '2326', '2327', '2328', '2329', '232A', '2330', '2331', '2332', '2333', '2334', '2335', '2336', '2337', '2338', '2339', '233A', '2340', '2341', '2342', '2343', '2344', '2345', '2346', '2347', '2348', '2349', '234A', '2350', '2351', '2352', '2353', '2354', '2355', '2356', '2357', '2358', '2359', '235A', '2360', '2361', '2362', '2363', '2364', '2365', '2366', '2367', '2368', '2369', '236A', '2370', '2371', '2372', '2373', '2374', '2375', '2376', '2377', '2378', '2379', '237A', '2380', '2381', '2382', '2383', '2384', '2385', '2386', '2387', '2388', '2389', '238A', '2390', '2391', '2392', '2393', '2394', '2395', '2396', '2397', '2398', '2399', '239A', '2400', '2401', '2402', '2403', '2404', '2405', '2406', '2407', '2408', '2409', '240A', '2410', '2411', '2412', '2413', '2414', '2415', '2416', '2417', '2418', '2419', '241A', '2420', '2421', '2422', '2423', '2424', '2425', '2426', '2427', '2428', '2429', '242A', '2430', '2431', '2432', '2433', '2434', '2435', '2436', '2437', '2438', '2439', '243A', '2440', '2441', '2442', '2443', '2444', '2445', '2446', '2447', '2448', '2449', '244A', '2450', '2451', '2452', '2453', '2454', '2455', '2456', '2457', '2458', '2459', '245A', '2460', '2461', '2462', '2463', '2464', '2465', '2466', '2467', '2468', '2469', '246A', '2470', '2471', '2472', '2473', '2474', '2475', '2476', '2477', '2478', '2479', '247A', '2480', '2481', '2482', '2483', '2484', '2485', '2486', '2487', '2488', '2489', '248A', '2490', '2491', '2492', '2493', '2494', '2495', '2496', '2497', '2498', '2499', '249A', '2500', '2501', '2502', '2503', '2504', '2505', '2506', '2507', '2508', '2509', '250A', '2510', '2511', '2512', '2513', '2514', '2515', '2516', '2517', '2518', '2519', '251A', '2520', '2521', '2522', '2523', '2524', '2525', '2526', '2527', '2528', '2529', '252A', '2530', '2531', '2532', '2533', '2534', '2535', '2536', '2537', '2538', '2539', '253A', '2540', '2541', '2542', '2543', '2544', '2545', '2546', '2547', '2548', '2549', '254A', '2550', '2551', '2552', '2553', '2554', '2555', '2556', '2557', '2558', '2559', '255A', '2560', '2561', '2562', '2563', '2564', '2565', '2566', '2567', '2568', '2569', '256A', '2570', '2571', '2572', '2573', '2574', '2575', '2576', '2577', '2578', '2579', '257A', '2580', '2581', '2582', '2583', '2584', '2585', '2586', '2587', '2588', '2589', '258A', '2590', '2591', '2592', '2593', '2594', '2595', '2596', '2597', '2598', '2599', '259A', '2600', '2601', '2602', '2603', '2604', '2605', '2606', '2607', '2608', '2609', '260A', '2610', '2611', '2612', '2613', '2614', '2615', '2616', '2617', '2618', '2619', '261A', '2620', '2621', '2622', '2623', '2624', '2625', '2626', '2627', '2628', '2629', '262A', '2630', '2631', '2632', '2633', '2634', '2635', '2636', '2637', '2639', '263A', '2640', '2641', '2642', '2643', '2644', '2645', '2646', '2647', '2648', '2649', '264A', '2650', '2651', '2652', '2653', '2654', '2655', '2656', '2658', '2659', '265A', '2660', '2662', '2663', '2664', '2665', '2666', '2667', '2668', '2669', '266A', '2670', '2671', '2672', '2673', '2674', '2675', '2676', '2677', '2678', '2679', '267A', '2680', '2681', '2682', '2683', '2684', '2685', '2686', '2687', '2688', '2689', '268A', '2690', '2691', '2693', '2694', '2695', '2696', '2697', '2698', '2699', '269A', '2700', '2701', '2702', '2703', '2704', '2705', '2706', '2707', '2708', '2709', '270A', '2710', '2711', '2712', '2713', '2714', '2715', '2716', '2717', '2718', '2719', '271A', '2720', '2721', '2722', '2723', '2724', '2725', '2726', '2727', '2728', '2729', '272A', '2730', '2731', '2732', '2733', '2734', '2735', '2736', '2737', '2738', '2739', '273A', '2740', '2741', '2742', '2743', '2744', '2745', '2746', '2747', '2748', '2749', '274A', '2750', '2751', '2752', '2753', '2754', '2755', '2756', '2757', '2758', '2759', '275A', '2760', '2761', '2762', '2763', '2764', '2765', '2766', '2767', '2768', '2769', '276A', '2770', '2771', '2772', '2773', '2774', '2775', '2776', '2777', '2778', '2779', '277A', '2780', '2781', '2782', '2783', '2784', '2785', '2786', '2787', '2788', '2789', '278A', '2790', '2791', '2792', '2793', '2794', '2795', '2796', '2797', '2798', '2799', '279A', '2800', '2801', '2802', '2803', '2804', '2805', '2806', '2807', '2808', '2809', '280A', '2810', '2811', '2812', '2813', '2814', '2815', '2816', '2817', '2818', '2819', '281A', '2820', '2821', '2822', '2823', '2824', '2825', '2826', '2827', '2828', '2829', '282A', '2830', '2831', '2832', '2833', '2834', '2835', '2836', '2837', '2838', '2839', '283A', '2840', '2841', '2842', '2843', '2844', '2845', '2846', '2847', '2848', '2849', '284A', '2850', '2851', '2852', '2853', '2855', '2856', '2857', 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'2973', '2974', '2975', '2976', '2977', '2978', '2979', '297A', '2980', '2981', '2982', '2983', '2984', '2985', '2986', '2987', '2988', '2989', '298A', '2990', '2991', '2992', '2994', '2995', '2996', '2997', '2998', '2999', '299A', '3000', '3001', '3002', '3003', '3004', '3005', '3006', '3007', '3009', '3010', '3011', '3012', '3013', '3014', '3015', '3016', '3017', '3018', '3019', '301A', '3020', '3021', '3022', '3023', '3024', '3025', '3026', '3027', '3028', '3029', '302A', '3030', '3031', '3032', '3033', '3034', '3035', '3036', '3037', '3038', '3039', '303A', '3040', '3041', '3042', '3043', '3044', '3045', '3046', '3047', '3048', '3049', '304A', '3050', '3051', '3052', '3053', '3054', '3055', '3056', '3057', '3058', '3059', '305A', '3060', '3061', '3062', '3063', '3064', '3065', '3066', '3067', '3068', '3069', '306A', '3070', '3071', '3072', '3073', '3074', '3075', '3076', '3077', '3078', '3079', '3080', '3081', '3082', '3083', '3084', '3085', '3086', '3087', '3088', '3089', '308A', 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'3205', '3206', '3207', '3208', '3209', '320A', '3210', '3212', '3214', '3215', '3216', '3217', '3218', '3219', '321A', '3220', '3221', '3222', '3223', '3224', '3225', '3226', '3227', '3228', '3229', '322A', '3230', '3231', '3232', '3233', '3234', '3235', '3236', '3237', '3238', '3239', '323A', '3240', '3241', '3242', '3243', '3244', '3245', '3246', '3247', '3248', '3249', '324A', '3250', '3251', '3252', '3253', '3254', '3255', '3256', '3257', '3258', '3259', '325A', '3260', '3261', '3262', '3263', '3264', '3265', '3266', '3267', '3268', '3269', '326A', '3270', '3271', '3272', '3273', '3274', '3275', '3276', '3277', '3278', '3279', '327A', '3280', '3281', '3282', '3283', '3284', '3285', '3286', '3287', '3288', '3289', '328A', '3290', '3291', '3292', '3293', '3294', '3295', '3296', '3297', '3298', '3299', '329A', '3300', '3301', '3302', '3303', '3304', '3305', '3306', '3307', '3308', '3309', '330A', '3310', '3311', '3312', '3313', '3314', '3315', '3316', '3317', '3318', '3319', '331A', '3320', '3321', '3322', '3323', '3324', '3325', '3326', '3327', '3328', '3329', '332A', '3330', '3331', '3332', '3333', '3334', '3335', '3336', '3337', '3338', '3339', '333A', '3340', '3341', '3342', '3343', '3344', '3345', '3346', '3347', '3348', '3349', '334A', '3350', '3351', '3352', '3353', '3354', '3355', '3356', '3357', '3358', '3359', '335A', '3360', '3361', '3362', '3363', '3364', '3365', '3366', '3367', '3368', '3369', '336A', '3370', '3371', '3372', '3373', '3374', '3375', '3376', '3377', '3378', '3379', '337A', '3380', '3381', '3382', '3383', '3384', '3385', '3386', '3388', '3389', '338A', '3390', '3393', '3394', '3395', '3396', '3397', '3398', '3399', '339A', '3400', '3401', '3402', '3403', '3404', '3405', '3406', '3407', '3408', '3409', '340A', '3411', '3412', '3413', '3414', '3415', '3416', '3417', '3418', '341A', '3420', '3421', '3422', '3424', '3425', '3426', '3427', '3428', '3429', '342A', '3430', '3431', '3432', '3433', '3434', '3435', '3436', '3437', '3439', '343A', '3440', '3441', '3442', '3443', '3444', '3445', '3446', '3447', '3448', '3449', '344A', '3450', '3451', '3452', '3453', '3454', '3455', '3456', '3457', '3458', '3459', '345A', '3460', '3461', '3462', '3463', '3464', '3465', '3466', '3467', '3468', '3469', '346A', '3470', '3471', '3472', '3473', '3474', '3475', '3476', '3477', '3478', '3479', '347A', '3480', '3481', '3482', '3483', '3484', '3485', '3486', '3487', '3488', '3489', '348A', '3490', '3491', '3492', '3493', '3494', '3495', '3496', '3497', '3498', '3499', '349A', '3500', '3501', '3502', '3503', '3504', '3505', '3506', '3507', '3508', '3509', '350A', '3510', '3511', '3512', '3513', '3514', '3515', '3516', '3517', '3518', '3519', '351A', '3520', '3521', '3522', '3523', '3524', '3525', '3526', '3527', '3528', '3529', '352A', '3530', '3531', '3532', '3533', '3534', '3535', '3536', '3537', '3538', '3539', '353A', '3540', '3541', '3542', '3543', '3544', '3545', '3546', '3547', '3548', '3549', '354A', '3550', '3551', '3552', '3553', '3554', '3555', '3556', '3557', '3558', '3559', '355A', '3560', '3561', '3562', '3563', '3564', '3565', '3566', '3567', '3568', '3569', '356A', '3570', '3571', '3572', '3573', '3574', '3575', '3576', '3577', '3578', '3579', '357A', '3580', '3581', '3582', '3583', '3584', '3585', '3586', '3587', '3588', '3589', '358A', '3590', '3591', '3592', '3593', '3594', '3595', '3596', '3597', '3598', '3599', '359A', '3600', '3601', '3602', '3603', '3604', '3605', '3606', '3607', '3608', '3609', '360A', '3610', '3611', '3612', '3613', '3614', '3615', '3616', '3617', '3618', '3619', '361A', '3621', '3622', '3623', '3624', '3625', '3626', '3627', '3628', '3629', '362A', '3630', '3631', '3632', '3633', '3634', '3635', '3636', '3637', '3638', '3639', '363A', '3640', '3641', '3642', '3643', '3644', '3645', '3646', '3647', '3648', '3649', '364A', '3650', '3651', '3652', '3653', '3654', '3655', '3656', '3657', '3658', '3659', '365A', '3660', '3661', '3662', '3663', '3664', '3665', '3666', '3667', '3668', '3669', '366A', '3670', '3671', '3672', '3673', '3674', '3675', '3676', '3677', '3678', '3679', '367A', '3680', '3681', '3682', '3683', '3684', '3685', '3686', '3687', '3688', '3689', '368A', '3690', '3691', '3692', '3693', '3694', '3695', '3696', '3697', '3698', '3699', '369A', '3700', '3701', '3702', '3703', '3704', '3706', '3707', '3708', '3709', '370A', '3710', '3711', '3712', '3713', '3714', '3715', '3716', '3717', '3718', '3719', '371A', '3720', '3721', '3722', '3723', '3725', '3726', '3727', '3728', '3729', '372A', '3730', '3731', '3732', '3733', '3734', '3735', '3736', '3737', '3738', '373A', '3740', '3741', '3742', '3743', '3744', '3745', '3746', '3747', '3748', '3749', '374A', '3750', '3751', '3752', '3753', '3754', '3755', '3756', '3757', '3758', '3759', '375A', '3760', '3761', '3762', '3763', '3764', '3765', '3766', '3767', '3768', '3769', '376A', '3770', '3771', '3772', '3773', '3774', '3775', '3776', '3777', '3778', '3779', '377A', '3780', '3781', '3782', '3783', '3784', '3785', '3786', '3787', '3788', '3789', '378A', '3790', '3791', '3792', '3793', '3794', '3795', '3796', '3797', '3798', '3799', '379A', '3800', '3801', '3802', '3803', '3804', '3805', '3806', '3807', '3808', '3809', '380A', '3810', '3811', '3812', '3813', '3814', '3815', '3816', '3817', '3818', '3819', '381A', '3820', '3821', '3822', '3823', '3824', '3825', '3826', '3827', '3828', '3829', '382A', '3830', '3831', '3832', '3833', '3834', '3835', '3836', '3837', '3838', '3839', '383A', '3840', '3841', '3842', '3843', '3844', '3845', '3846', '3847', '3848', '3849', '384A', '3850', '3852', '3853', '3854', '3855', '3856', '3857', '3858', '3859', '385A', '3860', '3861', '3862', '3863', '3864', '3865', '3867', '3868', '3869', '386A', '3871', '3872', '3873', '3874', '3875', '3876', '3877', '3878', '3879', '387A', '3880', '3881', '3882', '3883', '3884', '3885', '3886', '3887', '3888', '3889', '388A', '3890', '3891', '3892', '3893', '3894', '3895', '3896', '3897', '3898', '3899', '3900', '3901', '3903', '3904', '3905', '3906', '3907', '3908', '3909', '390A', '3910', '3911', '3912', '3913', '3914', '3915', '3916', '3918', '3919', '391A', '3920', '3921', '3922', '3923', '3924', '3925', '3926', '3927', '3928', '3929', '392A', '3930', '3931', '3932', '3933', '3934', '3935', '3936', '3937', '3938', '3939', '393A', '3940', '3941', '3942', '3943', '3944', '3945', '3946', '3947', '3948', '3949', '394A', '3950', '3951', '3952', '3953', '3954', '3955', '3956', '3957', '3958', '3959', '395A', '3960', '3961', '3962', '3963', '3964', '3965', '3966', '3967', '3968', '3969', '396A', '3970', '3971', '3972', '3973', '3974', '3975', '3976', '3977', '3978', '3979', '397A', '3980', '3981', '3982', '3983', '3984', '3985', '3986', '3987', '3988', '3989', '398A', '3990', '3991', '3992', '3993', '3994', '3995', '3996', '3997', '3998', '3999', '399A', '4000', '4001', '4002', '4003', '4004', '4005', '4006', '4007', '4008', '4009', '400A', '4010', '4011', '4012', '4013', '4014', '4015', '4016', '4017', '4018', '4019', '401A', '4020', '4021', '4022', '4023', '4024', '4025', '4026', '4027', '4028', '4029', '402A', '4030', '4031', '4032', '4033', '4034', '4035', '4036', '4037', '4038', '4039', '403A', '4040', '4041', '4042', '4043', '4044', '4045', '4046', '4047', '4048', '4049', '404A', '4050', '4051', '4052', '4053', '4054', '4055', '4056', '4057', '4058', '4059', '405A', '4060', '4061', '4062', '4063', '4064', '4066', '4067', '4068', '4069', '406A', '4070', '4071', '4072', '4073', '4074', '4075', '4076', '4077', '4078', '4079', '407A', '4080', '4081', '4082', '4083', '4084', '4085', '4086', '4087', '4088', '4089', '408A', '4090', '4091', '4092', '4093', '4094', '4096', '4097', '4098', '4099', '409A', '4100', '4101', '4102', '4103', '4104', '4105', '4106', '4107', '4108', '4109', '410A', '4110', '4111', '4112', '4113', '4114', '4115', '4116', '4117', '4118', '4119', '411A', '4120', '4121', '4122', '4123', '4124', '4125', '4126', '4127', '4128', '4129', '412A', '4130', '4131', '4132', '4133', '4134', '4135', '4136', '4137', '4138', '4139', '413A', '4140', '4141', '4142', '4143', '4144', '4145', '4146', '4147', '4148', '4149', '4150', '4151', '4152', '4153', '4154', '4155', '4156', '4157', '4158', '4159', '415A', '4160', '4161', '4162', '4163', '4164', '4165', '4166', '4167', '4168', '4169', '416A', '4170', '4171', '4172', '4173', '4174', '4175', '4176', '4177', '4178', '4179', '417A', '4180', '4181', '4182', '4183', '4184', '4185', '4186', '4187', '4188', '4189', '418A', '4190', '4191', '4193', '4194', '4195', '4196', '4197', '4198', '4199', '419A', '4200', '4201', '4202', '4203', '4204', '4206', '4207', '4208', '4209', '420A', '4210', '4211', '4212', '4213', '4214', '4215', '4216', '4217', '4218', '4219', '4220', '4221', '4222', '4223', '4225', '4226', '4227', '4228', '4229', '422A', '4230', '4231', '4232', '4233', '4234', '4235', '4236', '4237', '4238', '423A', '4240', '4241', '4242', '4244', '4245', '4246', '4248', '4249', '424A', '4250', '4251', '4252', '4253', '4254', '4255', '4256', '4257', '4258', '4259', '425A', '4260', '4261', '4262', '4263', '4264', '4265', '4266', '4267', '4268', '4269', '426A', '4270', '4271', '4272', '4273', '4274', '4275', '4276', '4277', '4278', '4279', '427A', '4280', '4282', '4283', '4284', '4285', '4286', '4287', '4288', '4289', '428A', '4290', '4291', '4292', '4293', '4294', '4295', '4297', '4298', '4299', '429A', '4300', '4301', '4302', '4303', '4304', '4305', '4306', '4307', '4308', '430A', '4310', '4311', '4312', '4314', '4315', '4316', '4317', '4318', '4319', '431A', '4320', '4321', '4322', '4323', '4324', '4325', '4326', '4327', '4329', '432A', '4330', '4331', '4333', '4334', '4335', '4336', '4337', '4338', '4339', '433A', '4340', '4341', '4342', '4343', '4344', '4345', '4346', '4348', '4349', '434A', '4350', '4352', '4353', '4354', '4355', '4356', '4357', '4358', '4359', '435A', '4361', '4362', '4363', '4364', '4365', '4367', '4368', '4369', '436A', '4371', '4372', '4373', '4374', '4375', '4376', '4377', '4378', '4379', '437A', '4380', '4381', '4382', '4383', '4384', '4386', '4387', '4388', '4389', '438A', '4390', '4391', '4392', '4393', '4394', '4395', '4396', '4397', '4399', '4400', '4401', '4403', '4404', '4405', '4406', '4407', '4408', '4409', '440A', '4410', '4411', '4412', '4413', '4414', '4415', '4416', '4418', '4419', '441A', '4420', '4422', '4423', '4424', '4425', '4426', '4427', '4428', '4429', '442A', '4430', '4431', '4432', '4433', '4434', '4435', '4437', '4438', '4439', '443A', '4441', '4442', '4443', '4444', '4446', '4447', '4448', '4449', '444A', '4450', '4451', '4452', '4453', '4454', '4456', '4457', '4458', '4459', '445A', '4460', '4461', '4462', '4463', '4464', '4465', '4466', '4467', '4468', '4469', '4470', '4471', '4472', '4473', '4475', '4476', '4477', '4478', '4479', '447A', '4480', '4481', '4482', '4483', '4484', '4485', '4486', '4488', '448A', '4490', '4491', '4492', '4494', '4495', '4496', '4497', '4498', '4499', '449A', '4500', '4501', '4502', '4503', '4504', '4505', '4507', '4508', '4509', '450A', '4511', '4512', '4513', '4514', '4515', '4516', '4517', '4518', '4519', '451A', '4520', '4521', '4522', '4523', '4524', '4526', '4527', '4528', '4529', '452A', '4530', '4531', '4532', '4533', '4534', '4535', '4536', '4537', '4538', '4539', '4540', '4541', '4542', '4543', '4545', '4546', '4547', '4548', '4549', '454A', '4550', '4551', '4552', '4553', '4554', '4555', '4556', '4557', '4558', '4559', '455A', '4560', '4561', '4562', '4563', '4564', '4565', '4566', '4567', '4568', '4569', '456A', '4570', '4571', '4572', '4573', '4574', '4575', '4576', '4577', '4578', '4579', '457A', '4580', '4581', '4583', '4584', '4585', '4586', '4587', '4588', '4589', '458A', '4590', '4592', '4593', '4594', '4596', '4598', '4599', '459A', '4600', '4601', '4602', '4603', '4604', '4605', '4606', '4607', '4608', '4609', '460A', '4610', '4611', '4612', '4613', '4614', '4615', '4616', '4617', '4618', '4619', '461A', '4620', '4621', '4622', '4623', '4624', '4625', '4626', '4627', '4628', '4629', '462A', '4630', '4631', '4632', '4634', '4635', '4636', '4637', '4638', '4639', '463A', '4640', '4641', '4642', '4643', '4644', '4645', '4646', '4647', '4649', '464A', '4650', '4651', '4652', '4654', '4655', '4656', '4657', '4658', '4659', '465A', '4660', '4661', '4662', '4663', '4664', '4666', '4667', '4668', '4669', '466A', '4670', '4671', '4672', '4673', '4674', '4675', '4676', '4677', '4678', '4679', '467A', '4680', '4681', '4682', '4683', '4684', '4685', '4686', '4687', '4688', '4689', '468A', '4690', '4691', '4692', '4693', '4694', '4695', '4696', '4697', '4698', '469A', '4700', '4702', '4703', '4704', '4705', '4706', '4707', '4708', '4709', '470A', '4710', '4712', '4713', '4714', '4715', '4716', '4717', '4718', '4719', '471A', '4720', '4721', '4723', '4724', '4725', '4726', '4727', '4728', '4729', '472A', '4730', '4731', '4732', '4733', '4734', '4736', '4737', '4738', '4739', '473A', '4740', '4742', '4743', '4744', '4745', '4746', '4747', '4749', '474A', '4750', '4751', '4752', '4753', '4754', '4755', '4757', '4758', '4759', '475A', '4761', '4762', '4763', '4764', '4765', '4766', '4767', '4768', '4769', '476A', '4770', '4771', '4772', '4773', '4774', '4775', '4776', '4777', '4778', '477A', '4780', '4781', '4782', '4784', '4785', '4786', '4787', '4788', '4789', '478A', '4790', '4791', '4792', '4793', '4794', '4795', '4796', '4797', '4799', '479A', '4801', '4802', '4803', '4804', '4805', '4806', '4807', '4808', '4809', '480A', '4810', '4811', '4812', '4813', '4814', '4816', '4817', '4818', '4819', '481A', '4820', '4822', '4823', '4824', '4825', '4826', '4827', '4828', '4829', '482A', '4830', '4831', '4832', '4833', '4835', '4836', '4837', '4838', '4839', '483A', '4841', '4842', '4843', '4844', '4845', '4846', '4847', '4848', '484A', '4850', '4851', '4852', '4853', '4854', '4855', '4856', '4857', '4859', '485A', '4861', '4862', '4863', '4864', '4865', '4866', '4867', '4868', '4869', '486A', '4870', '4871', '4873', '4874', '4875', '4876', '4878', '4879', '487A', '4880', '4881', '4882', '4883', '4884', '4885', '4886', '4888', '4889', '488A', '4890', '4891', '4892', '4894', '4895', '4896', '4897', '4898', '4899', '489A', '4900', '4901', '4902', '4903', '4904', '4905', '4906', '4907', '4908', '4909', '490A', '4910', '4911', '4912', '4914', '4915', '4916', '4917', '4918', '4919', '491A', '4920', '4921', '4922', '4923', '4924', '4925', '4926', '4927', '4928', '4929', '492A', '4930', '4931', '4932', '4933', '4934', '4935', '4936', '4937', '4938', '4939', '493A', '4940', '4941', '4942', '4943', '4944', '4945', '4946', '4947', '4948', '4949', '494A', '4950', '4951', '4952', '4954', '4955', '4956', '4957', '4958', '4959', '495A', '4960', '4961', '4962', '4963', '4964', '4965', '4966', '4967', '4969', '496A', '4970', '4971', '4973', '4974', '4975', '4976', '4977', '4978', '4979', '497A', '4980', '4981', '4982', '4983', '4984', '4986', '4988', '4989', '498A', '4990', '4991', '4992', '4993', '4994', '4995', '4996', '4997', '4998', '4999', '499A', '5000', '5001', '5002', '5003', '5004', '5005', '5007', '5008', '5009', '500A', '5010', '5011', '5012', '5013', '5014', '5015', '5018', '5019', '501A', '5020', '5022', '5023', '5024', '5026', '5027', '5028', '5029', '502A', '5030', '5031', '5032', '5033', '5034', '5035', '5037', '5038', '5039', '503A', '5040', '5041', '5042', '5043', '5044', '5045', '5046', '5047', '5048', '5049', '504A', '5050', '5051', '5052', '5053', '5054', '5056', '5058', '5059', '505A', '5060', '5061', '5062', '5063', '5064', '5065', '5066', '5067', '5068', '5069', '506A', '5070', '5071', '5072', '5073', '5074', '5075', '5077', '5078', '5079', '507A', '5080', '5081', '5082', '5083', '5084', '5085', '5086', '5087', '5088', '5089', '508A', '5090', '5091', '5092', '5093', '5094', '5095', '5096', '5097', '5098', '5099', '509A', '5100', '5101', '5102', '5103', '5104', '5105', '5106', '5107', '5108', '5109', '510A', '5111', '5112', '5113', '5114', '5115', '5116', '5117', '5118', '5119', '511A', '5120', '5121', '5122', '5124', '5126', '5127', '5128', '5129', '512A', '5130', '5131', '5132', '5133', '5134', '5135', '5136', '5137', '5138', '5139', '513A', '5140', '5141', '5142', '5143', '5144', '5145', '5148', '5149', '514A', '5150', '5151', '5152', '5154', '5155', '5156', '5157', '5158', '5159', '515A', '5160', '5161', '5162', '5163', '5164', '5165', '5166', '5167', '5168', '5169', '516A', '5170', '5171', '5173', '5174', '5175', '5176', '5177', '5179', '517A', '5180', '5181', '5182', '5183', '5184', '5185', '5186', '5187', '5188', '5189', '518A', '5190', '5191', '5192', '5193', '5194', '5196', '5197', '5198', '5199', '519A', '5200', '5201', '5202', '5203', '5204', '5205', '5206', '5207', '5208', '5209', '520A', '5210', '5211', '5212', '5214', '5215', '5216', '5217', '5218', '5219', '521A', '5220', '5221', '5223', '5224', '5225', '5226', '5227', '5228', '522A', '5230', '5231', '5232', '5234', '5235', '5236', '5239', '523A', '5240', '5242', '5243', '5244', '5245', '5246', '5249', '524A', '5250', '5251', '5252', '5253', '5254', '5255', '5256', '5258', '5259', '525A', '5262', '5263', '5264', '5266', '5267', '5268', '5269', '526A', '5270', '5271', '5272', '5273', '5274', '5277', '5278', '5279', '527A', '5281', '5282', '5283', '5284', '5285', '5287', '5289', '5290', '5291', '5293', '5296', '5297', '5298', '5299', '529A', '5300', '5301', '5302', '5303', '5304', '5305', '5306', '5307', '5309', '530A', '5310', '5313', '5314', '5315', '5316', '5317', '5318', '5319', '531A', '5321', '5322', '5323', '5324', '5325', '5328', '5329', '532A', '5331', '5332', '5333', '5334', '5335', '5336', '5337', '5338', '5339', '533A', '5340', '5341', '5342', '5343', '5344', '5345', '5346', '5347', '5348', '5349', '534A', '5351', '5352', '5353', '5354', '5355', '5356', '5357', '5358', '5359', '535A', '5360', '5361', '5362', '5363', '5364', '5366', '5367', '5368', '5369', '536A', '5370', '5371', '5372', '5373', '5374', '5375', '5376', '5378', '5379', '5380', '5381', '5382', '5383', '5384', '5385', '5386', '5387', '5388', '5389', '538A', '5390', '5392', '5393', '5394', '5395', '5396', '5397', '5399', '539A', '5401', '5402', '5403', '5404', '5405', '5406', '5407', '5408', '5409', '540A', '5410', '5411', '5412', '5413', '5414', '5416', '5417', '5418', '5419', '541A', '5420', '5421', '5422', '5423', '5424', '5425', '5426', '5427', '5428', '5429', '542A', '5431', '5432', '5433', '5435', '5436', '5437', '5438', '5439', '543A', '5440', '5441', '5442', '5443', '5444', '5446', '5447', '5448', '5450', '5451', '5452', '5453', '5455', '5456', '5457', '5458', '5459', '545A', '5460', '5461', '5462', '5463', '5464', '5465', '5466', '5467', '546A', '5470', '5471', '5474', '5475', '5476', '5477', '5478', '547A', '5480', '5481', '5482', '5484', '5485', '5486', '5488', '5489', '548A', '5490', '5492', '5493', '5494', '5495', '5496', '5497', '5498', '5499', '549A', '5500', '5501', '5502', '5503', '5505', '5506', '5507', '5508', '5509', '550A', '5510', '5511', '5512', '5513', '5514', '5516', '5517', '5518', '5520', '5522', '5523', '5525', '5526', '5527', '5528', '5529', '552A', '5530', '5531', '5532', '5533', '5534', '5535', '5536', '5537', '553A', '5540', '5541', '5542', '5543', '5544', '5545', '5546', '5547', '5548', '554A', '5550', '5552', '5553', '5554', '5555', '5556', '5557', '5559', '555A', '5560', '5561', '5563', '5564', '5565', '5566', '5567', '5568', '5569', '556A', '5570', '5571', '5572', '5573', '5574', '5575', '5576', '5577', '5578', '5579', '557A', '5580', '5581', '5582', '5583', '5584', '5586', '5587', '5588', '5589', '558A', '5590', '5591', '5592', '5593', '5594', '5595', '5596', '5597', '5598', '5599', '5600', '5601', '5603', '5604', '5605', '5606', '5607', '5608', '560A', '5610', '5611', '5612', '5613', '5614', '5615', '5616', '5618', '5619', '561A', '5620', '5622', '5623', '5624', '5625', '5626', '5627', '5628', '5629', '562A', '5630', '5633', '5634', '5635', '5637', '5638', '5639', '563A', '5641', '5643', '5644', '5645', '5646', '5647', '5648', '5649', '564A', '5650', '5651', '5652', '5653', '5654', '5656', '5657', '5658', '5659', '565A', '5660', '5662', '5663', '5664', '5665', '5666', '5667', '5668', '5669', '5671', '5672', '5673', '5675', '5676', '5677', '5678', '5679', '567A', '5680', '5681', '5682', '5683', '5684', '5687', '5688', '5691', '5692', '5694', '5695', '5696', '5697', '5698', '5699', '5700', '5701', '5704', '5705', '5707', '5708', '5709', '570A', '5711', '5712', '5713', '5714', '5715', '5716', '5718', '5719', '571A', '5723', '5724', '5726', '5727', '5728', '5729', '572A', '5730', '5731', '5732', '5733', '5734', '5735', '5737', '5738', '5740', '5741', '5742', '5743', '5745', '5747', '5748', '5749', '574A', '5750', '5751', '5752', '5753', '5754', '5757', '5758', '575A', '5761', '5762', '5764', '5765', '5766', '5767', '5768', '576A', '5770', '5771', '5772', '5773', '5774', '5775', '5776', '5777', '5779', '577A', '5780', '5781', '5783', '5784', '5785', '5786', '5787', '5788', '5789', '5790', '5791', '5795', '5796', '5798', '5799', '579A', '5800', '5802', '5803', '5804', '5805', '5808', '5809', '5811', '5812', '5813', '5815', '5817', '5818', '5819', '581A', '5820', '5821', '5822', '5823', '5824', '5825', '5826', '5827', '5828', '582A', '5830', '5831', '5832', '5834', '5835', '5836', '5837', '5838', '5839', '583A', '5840', '5841', '5842', '5845', '5846', '5847', '5849', '584A', '5850', '5851', '5853', '5854', '5855', '5856', '5857', '585A', '5860', '5861', '5862', '5863', '5865', '5866', '5868', '5869', '586A', '5870', '5872', '5873', '5874', '5875', '5876', '587A', '5880', '5882', '5883', '5884', '5885', '5887', '5888', '5889', '588A', '5891', '5892', '5893', '5894', '5895', '5897', '5898', '5899', '589A', '5900', '5902', '5904', '5905', '5906', '5907', '5908', '5910', '5911', '5912', '5915', '5916', '5917', '5919', '591A', '5920', '5921', '5923', '5925', '5926', '5927', '5929', '592A', '5930', '5931', '5934', '5935', '5936', '5938', '5939', '593A', '5940', '5942', '5943', '5945', '5946', '5949', '594A', '5950', '5953', '5954', '5955', '5957', '5958', '5961', '5962', '5965', '5968', '5969', '596A', '5972', '5973', '5974', '5976', '5977', '597A', '5980', '5981', '5983', '5984', '5987', '5988', '5989', '5991', '5993', '5995', '5996', '5998', '5999', '6000', '6002', '6003', '6006', '6007', '6008', '600A', '6010', '6012', '6014', '6015', '6017', '6018', '6021', '6022', '6025', '6027', '6029', '6030', '6031', '6033', '6037', '6039', '603A', '6040', '6041', '6044', '6045', '6046', '6048', '6050', '6052', '6053', '6055', '6056', '6059', '605A', '6060', '6063', '6064', '6065', '6067', '6068', '606A', '6071', '6072', '6074', '6075', '6078', '6079', '607A', '6082', '6083', '6084', '6086', '6089', '608A', '6093', '6094', '6097', '6098', '6099', '6100', '6101', '6103', '6104', '6106', '6107', '610A', '6110', '6111', '6114', '6115', '6116', '6118', '6120', '6122', '6123', '6125', '6126', '6129', '612A', '6130', '6134', '6135', '613A', '6141', '6144', '6145', '6148', '6149', '614A', '6153', '6154', '6156', '6159', '615A', '6160', '6163', '6164', '6169', '6172', '6173', '6175', '6176', '6179', '6180', '6182', '6183', '6186', '6187', '6188', '618A', '6190', '6191', '6192', '6194', '6195', '6197', '6198', '6200', '6205', '6207', '6208', '620A', '6211', '6212', '6215', '6219', '621A', '6224', '6226', '6227', '6229', '622A', '6230', '6231', '6233', '6234', '6237', '6238', '6239', '6241', '6243', '6245', '6246', '6248', '6249', '6252', '6253', '6255', '6257', '6258', '625A', '6261', '6262', '6264', '6267', '6268', '626A', '6271', '6272', '6274', '6275', '6276', '6277', '6279', '6281', '6283', '6284', '6286', '6287', '6289', '6290', '6291', '6293', '6295', '6296', '6298', '6299', '6300', '6301', '6303', '6304', '6307', '6309', '6310', '6313', '6315', '6316', '6318', '6319', '6320', '6322', '6323', '6327', '6328', '632A', '6332', '6334', '6335', '6337', '6338', '633A', '6341', '6342', '6344', '6347', '6349', '634A', '6351', '6353', '6354', '6356', '6357', '6359', '6361', '6363', '6364', '6365', '6366', '6368', '6369', '6370', '6372', '6373', '6375', '6376', '6378', '6379', '637A', '6380', '6382', '6383', '6384', '6385', '6387', '6388', '638A', '6391', '6392', '6394', '6395', '6397', '6398', '6399', '639A', '6400', '6401', '6402', '6404', '6405', '6407', '6408', '640A', '6411', '6412', '6415', '6416', '6417', '6419', '641A', '6420', '6421', '6424', '6426', '6427', '642A', '6430', '6431', '6435', '6436', '6438', '6440', '6442', '6443', '6445', '6446', '644A', '6450', '6452', '6453', '6454', '6455', '6457', '6458', '645A', '6461', '6462', '6464', '6465', '6467', '6468', '6469', '646A', '6472', '6473', '6474', '6476', '6477', '6479', '647A', '6480', '6481', '6483', '6484', '6488', '6489', '6491', '6492', '6493', '6495', '6496', '6498', '6499', '6500', '6501', '6503', '6504', '6505', '6506', '6508', '6509', '6510', '6512', '6515', '6516', '6519', '651A', '6520', '6523', '6524', '6525', '6527', '652A', '6531', '6534', '6535', '6539', '653A', '6541', '6542', '6543', '6544', '6546', '6549', '654A', '6550', '6551', '6554', '6556', '6557', '6558', '6559', '6560', '6561', '6562', '6563', '6565', '6568', '6569', '6570', '6572', '6573', '6576', '6577', '6578', '657A', '6580', '6582', '6584', '6585', '6587', '6588', '658A', '6591', '6592', '6594', '6595', '6597', '6599', '659A', '6601', '6602', '6604', '6605', '6607', '6608', '6611', '6613', '6614', '6616', '6617', '6619', '661A', '6620', '6621', '6623', '6624', '6628', '6629', '6630', '6631', '6632', '6633', '6635', '6638', '6639', '6640', '6642', '6643', '6645', '6646', '6647', '6648', '664A', '6650', '6651', '6652', '6654', '6657', '6658', '6661', '6662', '6664', '6665', '6666', '6667', '6669', '666A', '6670', '6671', '6673', '6677', '6679', '667A', '6680', '6681', '6684', '6686', '6688', '6689', '6690', '6692', '6693', '6695', '6696', '6699', '669A', '6701', '6702', '6703', '6705', '6706', '6709', '6710', '6712', '6713', '6716', '6717', '6718', '671A', '6720', '6721', '6722', '6724', '6725', '6727', '6728', '6731', '6732', '6735', '6736', '6737', '6739', '673A', '6740', '6741', '6743', '6746', '6747', '674A', '6750', '6751', '6754', '6755', '6756', '6758', '6759', '6760', '6762', '6765', '6766', '6769', '676A', '6770', '6773', '6774', '6775', '6777', '6778', '677A', '6781', '6782', '6784', '6785', '6788', '6789', '678A', '6792', '6793', '6794', '6796', '6799', '679A', '6802', '6805', '6806', '6807', '6809', '6810', '6811', '6813', '6817', '6821', '6825', '6826', '6828', '6830', '6832', '6836', '6839', '683A', '6840', '6843', '6844', '6845', '6847', '6851', '6855', '6858', '6859', '685A', '6862', '6863', '6864', '6866', '686A', '6870', '6874', '6877', '6878', '6879', '6881', '6882', '6883', '6885', '6886', '6889', '6890', '6893', '6896', '6897', '6898', '689A', '6900', '6902', '6903', '6906', '6909', '690A', '6910', '6913', '6914', '6915', '6917', '6921', '6925', '6929', '692A', '6933', '6934', '6936', '693A', '6940', '6944', '6947', '6948', '6949', '6951', '6952', '6953', '6955', '6956', '6959', '6963', '6966', '6967', '6968', '696A', '6970', '6971', '6972', '6974', '6975', '6978', '6982', '6985', '6986', '6987', '6989', '698A', '6990', '6991', '6993', '6994', '6997', '699A', '7001', '7004', '7005', '7006', '7008', '7010', '7012', '7016', '701A', '7020', '7023', '7024', '7025', '7027', '7031', '7035', '7039', '703A', '7042', '7043', '7044', '7046', '7047', '704A', '7050', '7054', '7057', '7059', '7061', '7063', '7065', '7066', '7069', '7070', '7073', '7076', '7078', '707A', '7080', '7082', '7084', '7085', '7088', '7092', '7095', '7097', '7099', '709A', '7101', '7102', '7105', '7108', '710A', '7112', '7114', '7116', '711A', '7120', '7121', '7124', '7127', '7129', '7131', '7133', '7135', '7136', '7139', '7143', '7148', '714A', '7150', '7152', '7154', '7155', '7158', '7162', '7165', '7167', '7169', '716A', '7171', '7173', '7177', '717A', '7181', '7184', '7186', '7188', '7190', '7192', '7193', '7196', '7201', '7203', '7205', '7206', '7209', '7213', '7216', '7218', '721A', '7220', '7222', '7225', '7228', '7232', '7237', '7239', '723A', '7241', '7243', '7247', '724A', '7251', '7254', '7256', '7258', '7260', '7262', '7266', '7269', '7270', '7273', '7275', '7277', '7281', '7285', '7288', '728A', '7292', '7294', '7296', '7297', '729A', '7302', '7305', '7307', '7309', '730A', '7311', '7313', '7314', '7317', '731A', '7321', '7324', '7326', '7328', '7330', '7332', '7336', '7340', '7343', '7345', '7351', '7355', '7358', '735A', '7364', '7366', '736A', '7370', '7371', '7374', '7377', '7379', '7383', '7385', '7386', '7389', '7390', '7393', '7396', '7398', '739A', '7400', '7402', '7403', '7406', '7409', '7410', '7413', '7415', '7417', '7418', '7421', '7425', '7428', '742A', '7432', '7434', '7436', '7437', '743A', '7440', '7441', '7444', '7447', '7449', '7451', '7453', '7455', '7456', '7459', '7460', '7463', '7466', '7468', '746A', '7470', '7472', '7474', '7478', '7482', '7485', '7487', '7491', '7494', '7497', '749A', '7502', '7504', '7506', '750A', '7514', '7517', '7519', '7521', '7523', '7529', '7533', '7536', '7538', '7540', '7542', '7544', '7548', '7555', '7557', '7559', '7561', '7567', '756A', '7571', '7574', '7576', '7578', '7579', '7586', '7589', '7590', '7597', '7598', '7600', '7603', '7606', '760A', '7610', '7614', '7615', '7618', '7622', '7625', '7627', '7629', '762A', '7631', '7634', '7637', '763A', '7641', '7644', '7646', '7649', '7650', '7653', '7656', '7659', '7660', '7663', '7665', '7668', '7672', '7675', '7678', '767A', '7682', '7684', '7686', '7687', '768A', '7690', '7691', '7694', '7697', '7699', '7701', '7704', '7707', '770A', '7711', '7714', '7716', '7718', '7720', '7723', '7726', '7729', '7730', '7733', '7735', '7737', '7738', '7742', '7745', '7748', '774A', '7752', '7754', '7757', '7764', '7767', '7769', '7771', '7773', '7776', '7779', '7780', '7783', '7786', '7788', '7790', '7795', '7798', '7800', '7805', '7808', '7812', '7815', '7818', '781A', '7822', '7824', '7827', '782A', '7831', '7834', '7837', '7839', '7841', '7843', '7846', '7849', '7850', '7853', '7856', '7858', '7860', '7862', '7865', '7868', '7872', '7875', '7877', '7881', '7887', '788A', '7891', '7894', '7896', '7904', '7907', '7909', '7911', '7913', '7919', '7923', '7926', '7928', '7930', '7932', '7938', '7942', '7945', '7947', '7951', '7957', '795A', '7964', '7966', '7970', '7976', '7979', '7980', '7983', '7985', '7995', '7998', '799A', '8002', '800A', '8014', '8017', '8019', '8021', '8023', '8029', '8033', '8036', '8038', '8040', '8042', '8048', '8052', '8055', '8057', '8061', '8067', '806A', '8071', '8074', '8076', '8080', '8086', '8089', '8090', '8093', '8095', '8103', '8106', '8108', '8110', '8112', '8118', '8122', '8125', '8127', '8131', '8137', '813A', '8141', '8144', '8146', '8150', '8156', '8159', '8160', '8163', '8165', '8175', '8178', '817A', '8182', '8184', '818A', '8194', '8197', '8199', '8201', '8207', '820A', '8211', '8214', '8216', '8220', '8226', '8229', '8230', '8233', '8235', '8245', '8248', '824A', '8252', '8254', '825A', '8264', '8269', '8271', '8273', '8279', '8283', '8286', '8288', '8290', '8292', '8298', '8300', '8303', '8305', '8315', '8318', '831A', '8324', '832A', '8334', '8339', '8343', '8349', '8353', '8358', '8362', '8372', '8377', '8387', '838A', '8391', '8394', '8404', '8407', '8409', '8419', '8423', '8426', '8428', '8430', '8432', '8438', '8442', '8445', '8447', '8451', '8457', '845A', '8461', '8464', '8466', '8470', '8476', '8479', '8480', '8485', '8495', '849A', '8500', '8502', '8508', '8517', '8527', '8531', '8536', '8540', '8546', '8550', '8555', '8565', '8568', '8572', '857A', '8584', '8587', '8589', '8591', '8593', '8599', '8601', '8604', '8606', '8610', '8616', '8619', '8620', '8623', '8625', '8635', '863A', '8644', '864A', '8654', '8659', '8663', '8673', '8678', '8680', '8682', '8688', '8692', '8695', '8697', '8705', '8708', '870A', '8714', '8727', '8729', '8731', '8733', '8739', '8743', '8746', '8748', '8752', '8758', '8762', '8765', '8767', '8771', '877A', '8784', '8786', '8796', '8803', '8813', '8818', '8822', '8828', '8837', '8851', '8860', '8866', '8870', '8875', '8885', '8888', '888A', '8894', '889A', '8902', '8907', '8911', '8917', '8921', '8926', '8930', '8936', '8945', '8955', '895A', '8964', '896A', '8979', '8983', '8993', '8998', '9002', '9017', '9021', '9036', '9040', '9055', '906A', '9089', '9093', '9106', '9110', '913A', '9159', '9163', '9178', '9182', '9197', '920A', '9214', '9229', '9233', '9248', '9252', '9258', '9267', '9271', '9281', '9286', '9290', '9296', '9303', '9309', '9318', '9328', '9341', '9356', '9360', '9366', '9370', '9385', '939A', '9402', '9411', '9426', '9430', '9440', '9445', '945A', '946A', '9474', '9483', '9489', '9506', '9515', '952A', '9534', '9549', '9553', '9566', '9568', '9572', '9585', '9587', '9591', '959A', '9602', '9604', '9617', '9619', '9621', '9623', '9636', '9638', '9640', '9642', '9655', '966A', '9674', '9689', '9693', '9706', '9710', '9725', '973A', '9744', '9759', '9763', '9778', '9782', '980A', '9814', '9829', '9833', '9848', '9852', '9867', '9871', '9886', '9890', '9903', '9918', '9956', '9960', '9975']
Esta lista de todos los posibles valores nos ayudara a calcular los promedios y colocarlos en la posicion adecuada.
print("Valores distintos de AGEB:",len(ageb_set))
IM_2020_mean=[]
##Este pequeño for nos va ayudar a crear unan lista de los valores promedios
##que irian en la columna de los promedios de tal manera que a cada poblacion
for element in ageb_set:
lista=df_aux.index[df_aux["AGEB"]==element].tolist()
promedio=df_aux["IM_2020"].iloc[lista].mean()
for i in range(len(lista)):
IM_2020_mean.append(promedio)
print(IM_2020_mean)
Valores distintos de AGEB: 7636 [118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 118.35808919354135, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 119.0795213019743, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 118.9549390264009, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 115.26593717851759, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 118.32151249484792, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 116.19011149818918, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 119.45717321951194, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 118.94944534473281, 117.25517537247771, 117.25517537247771, 117.25517537247771, 117.25517537247771, 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122.987123402577, 122.987123402577, 122.09084607797749, 122.09084607797749, 117.565370372846, 122.6592046443145, 122.6592046443145, 121.070136106487, 123.9427602073605, 123.9427602073605, 124.928342484796, 122.4310911987515, 122.4310911987515, 120.61962970750349, 120.61962970750349, 120.64055180278851, 120.64055180278851, 126.502871574903, 123.6290234232995, 123.6290234232995, 123.6867694578725, 123.6867694578725, 124.45147210007, 120.384779544194, 120.384779544194, 120.735152446867, 120.735152446867, 122.47596877236751, 122.47596877236751, 109.02456568665914, 109.02456568665914, 120.171601408913, 122.165822051581, 127.192305579094, 122.4265994452595, 122.4265994452595, 123.088102529293, 121.578469665415, 121.578469665415, 125.582939941668, 125.582939941668, 118.2470382426075, 118.2470382426075, 122.7244577239745, 122.7244577239745, 126.541453941307, 122.2461745334505, 122.2461745334505, 124.00548159077749, 124.00548159077749, 116.4832667718165, 116.4832667718165, 119.122208928547, 119.122208928547, 122.34417993856, 122.34417993856, 123.10190850395901, 123.10190850395901, 120.873284189246, 120.873284189246, 120.088344607521, 123.3333030142235, 123.3333030142235, 123.699531282419, 123.699531282419, 124.089080467102, 120.933034306002, 121.400877940504, 121.400877940504, 125.55120598441701, 125.55120598441701, 123.409407491662, 125.881375511097, 125.881375511097, 125.881375511097, 122.809559444664, 120.81394874220351, 120.81394874220351, 123.38211249637851, 123.38211249637851, 125.6902727599325, 125.6902727599325, 116.5120605126455, 116.5120605126455, 125.5885879879795, 125.5885879879795, 120.2179233561365, 120.2179233561365, 125.889058542559, 125.889058542559, 126.684527870663, 120.967179332763, 120.967179332763, 123.6620031813975, 123.6620031813975, 121.708694392692, 124.82589880346, 124.82589880346, 126.350131980774, 126.350131980774, 122.679471546465, 122.679471546465, 122.679471546465, 117.577859090747, 124.71054893989199, 124.71054893989199, 122.496866856069, 122.496866856069, 126.77748766483533, 126.77748766483533, 126.77748766483533, 117.177944890183, 117.177944890183, 124.70963251459101, 124.70963251459101, 124.70963251459101, 120.15244387502449, 120.15244387502449, 122.228395210898, 122.228395210898, 122.541299786579, 122.541299786579, 117.33877079120566, 117.33877079120566, 117.33877079120566, 117.449409982963, 121.77110836716234, 121.77110836716234, 121.77110836716234, 119.078075042242, 122.0265364510885, 122.0265364510885, 124.14430353942899, 124.14430353942899, 115.1283329048885, 115.1283329048885, 122.129191547865, 118.02080686877, 118.02080686877, 120.976573765974, 120.10469617841234, 120.10469617841234, 120.10469617841234, 121.73541758487599, 121.73541758487599, 119.71888222463, 121.2622110461135, 121.2622110461135, 119.5715234597395, 119.5715234597395, 104.027340277154, 118.387443954556, 118.387443954556, 123.7897034875385, 123.7897034875385, 121.033847156262, 121.511172300018, 119.789149342985, 120.659196447078, 122.01713198746, 126.63809570342, 119.746663077793, 121.248436398011, 121.248436398011, 124.70417027156549, 124.70417027156549, 119.086390724358, 120.5805586020515, 120.5805586020515, 119.017573879725, 120.154504502495, 124.189096625906, 124.189096625906, 124.55475643710051, 124.55475643710051, 117.73876596013551, 117.73876596013551, 120.927704705046, 117.8621400557885, 117.8621400557885, 115.3271182062355, 115.3271182062355, 123.725534020251, 123.725534020251, 118.717547197669, 123.867202044968, 123.867202044968, 123.333212910362, 120.214164332799, 124.35152428271249, 124.35152428271249, 123.09854852800066, 123.09854852800066, 123.09854852800066, 121.095528524707, 121.904949784086, 121.904949784086, 126.2705623228415, 126.2705623228415, 120.868936662656, 120.130121518301, 122.48468892477399, 122.48468892477399, 122.0753313586925, 122.0753313586925, 125.816617860612, 119.129862843938, 123.11643572911899, 123.11643572911899, 126.60604914596, 122.8848849461645, 122.8848849461645, 126.900003445769, 126.755155191259, 122.444037544357, 122.444037544357, 127.096543041269, 127.178102441591, 122.152399691168, 107.108936592255, 118.860415392081, 125.56433646073965, 125.56433646073965, 125.56433646073965, 124.630118011577, 124.630118011577, 119.831203275171, 125.2533550671825, 125.2533550671825, 125.752092393166, 120.6615739683385, 120.6615739683385, 120.039470651894, 121.073314211478, 122.759652113017, 126.20737759127499, 126.20737759127499, 124.90922572111266, 124.90922572111266, 124.90922572111266, 119.102958522288, 126.821471239385, 127.058415811856, 125.53880887476299, 125.53880887476299, 124.506015639517, 122.155315636462, 122.00544906238, 126.309707443064, 126.718368512575, 121.07774041509799, 121.07774041509799, 121.2527007158215, 121.2527007158215, 125.88574603998, 126.87948865593, 125.421064943362, 125.421064943362, 126.449567276591, 118.734612307278, 127.137642305864, 125.198310053854, 126.047515801535, 117.421078593683, 126.399707768887, 126.933117860958, 120.062848717894, 119.373406878689, 126.698202797803, 114.720714604568, 120.289282028188, 123.6697594171075, 123.6697594171075, 121.354406525205, 107.359532242697, 125.577233994575, 119.711361265834, 122.656924371986, 114.936779116954, 114.002508956739, 107.758633047481, 127.226306070625, 114.597048920359, 123.478725988343, 123.210782855296, 123.210782855296, 125.736190187714, 114.136831285923, 124.787078415516, 111.969164270354, 121.991842318595, 121.991842318595, 122.5576093279725, 122.5576093279725, 121.402035479217, 122.55135266447999, 122.55135266447999, 121.634660136845, 121.634660136845, 125.156562260989, 122.713326984061, 122.713326984061, 118.08728590692249, 118.08728590692249, 125.004022142222, 118.6140260833385, 118.6140260833385, 124.838028702592, 119.9012281633745, 119.9012281633745, 125.597499313531, 126.548888471903, 120.832131251269, 120.7172887920155, 120.7172887920155, 125.979825038849, 125.060471445325, 119.90493854669549, 119.90493854669549, 120.801774176812, 120.408398842414, 116.6792000106325, 116.6792000106325, 124.762124444687, 119.761618197373, 119.761618197373, 126.786044784045, 125.596455683901, 122.486899825171, 123.904731965851, 123.469975622772, 122.8986980413555, 122.8986980413555, 124.355723888024, 118.266935081225, 122.903984521428, 123.6710368486485, 123.6710368486485, 116.485014855378, 114.433381494563, 116.432231104358, 97.7310921181968, 114.8955362436825, 114.8955362436825, 106.162381619429, 127.200581287673, 126.980659564863, 119.891423801602, 120.4237650340035, 120.4237650340035, 122.102202026706, 119.471317403734, 123.45073243979, 125.0372931255815, 125.0372931255815, 122.311165307014, 122.688676959982, 109.938986647088, 117.186483825992, 120.0331028388295, 120.0331028388295, 121.90703624067, 126.331214743611, 118.4503991205075, 118.4503991205075, 115.3660938119595, 115.3660938119595, 123.924715776564, 98.1914247725325, 115.986887731702, 115.986887731702, 120.548246112564, 111.785186905609, 125.725562820634, 123.26287875422, 123.656847815981, 126.987437829726, 99.4501762452902, 122.7141797824965, 122.7141797824965, 126.474609316685, 125.404523583152, 126.894431466827, 126.04625868188, 126.424037849341, 126.222021956443, 123.48858456462, 123.48858456462, 122.823214950188, 125.93854129458, 120.9556972672085, 120.9556972672085, 121.234708809103, 117.991801352645, 125.33058837389501, 125.33058837389501, 114.380754363334, 114.380754363334, 119.71714508099, 124.735166728322, 124.735166728322, 123.362113778965, 123.362113778965, 125.276479503482, 125.276479503482, 126.406600742094, 124.88750497668099, 124.88750497668099, 120.285627147812, 120.285627147812, 124.495807862871, 126.41280277916, 126.41280277916, 126.423232598401, 123.639993620046, 122.870738510022, 125.589131616602, 126.89238401064, 125.712813750956, 127.111476679495, 124.768573728067, 126.941919608635, 125.052931297851, 123.314882169104, 124.276370691185, 126.580084361474, 123.08788733874, 126.727563879455, 112.089418445964, 102.64853295842, 123.466501842383, 102.401001415945, 125.138282946322, 123.437867258674, 125.267118415972, 127.004780480237, 126.881647815961, 126.956914581751, 126.494017766128, 127.866771385341, 126.778962287527, 125.654515285248, 125.681068625712, 123.658050994105, 125.914504962365, 120.453679510462, 123.165980006736, 126.323262529799, 124.155492505148, 127.039080968115, 123.35641764941, 117.487310825307, 124.628449794119, 127.376022071472, 125.61538387755, 127.0883085671, 127.096555391029, 116.730460197891, 125.565253001494, 127.183157162602, 123.314986994044, 126.272227977127, 122.314516167651, 126.093190697334, 125.012359514886, 124.311909146098, 123.533316062878, 121.538769207887, 124.477904018455, 124.017103993598, 124.848589386262, 123.120454010805, 123.085669350279, 124.970031299621, 122.841428508651, 122.821364554939, 123.863867154808, 118.36950620022, 121.185170246171, 124.485513366059, 124.116302748608, 113.100175185162, 125.588029433465, 123.836290096656, 116.659485833594, 122.973557962272, 124.138877877251, 125.242091177493, 124.522230123988, 123.123532166359, 125.576794265189, 120.741345095698, 125.132340514248, 119.72177231637, 115.560084221958, 115.8746617458, 116.231307827651]
Ahora solo unimos la nueva columna
df=pd.DataFrame((IM_2020_mean))
df_art=pd.concat([df_aux,df],axis=1)
print(df_art)
index AGEB POB_TOT IM_2020 0 0 33867 0010 718 121.390988 118.358089 1 21955 0010 798 124.224323 118.358089 2 34580 0010 1195 119.968465 118.358089 3 34238 0010 1075 116.176524 118.358089 4 8988 0010 3183 122.711086 118.358089 ... ... ... ... ... ... 50785 667 9903 135 125.132341 125.132341 50786 705 9918 384 119.721772 119.721772 50787 707 9956 903 115.560084 115.560084 50788 708 9960 735 115.874662 115.874662 50789 709 9975 1301 116.231308 116.231308 [50790 rows x 5 columns]
Ahora si podemos realiza el grafico
df_art.rename(columns={0:'IM_2020_mean'},
inplace=True)
print (df_art)
index AGEB POB_TOT IM_2020 IM_2020_mean 0 33867 0010 718 121.390988 118.358089 1 21955 0010 798 124.224323 118.358089 2 34580 0010 1195 119.968465 118.358089 3 34238 0010 1075 116.176524 118.358089 4 8988 0010 3183 122.711086 118.358089 ... ... ... ... ... ... 50785 667 9903 135 125.132341 125.132341 50786 705 9918 384 119.721772 119.721772 50787 707 9956 903 115.560084 115.560084 50788 708 9960 735 115.874662 115.874662 50789 709 9975 1301 116.231308 116.231308 [50790 rows x 5 columns]
graf4="Poblacion total vs Promedios Indice de Marginacion 2020"
fig = px.scatter(df_art,x="POB_TOT", y="IM_2020_mean", color_discrete_sequence=['blue'], marginal_x='histogram', marginal_y='histogram',opacity=0.7,title = graf4)
fig.show()
2.3 Resuelve el problema de encontrar $\alpha$ y $\beta$ que mejor ajuste a la recta IM_2020.mean = $\alpha$ POB_TOT + $\beta$ utilizando el concepto de pseudo-inversa
x = df_art.iloc[:, -3].values.reshape(-1, 1)
y = df_art.iloc[:, -5].values.reshape(-1, 1)
linear_regressor = LinearRegression() # create object for the class
linear_regressor.fit(x, y) # perform linear regression
IM_2020_promedio_pred = linear_regressor.predict(x) # make predictions
plt.scatter(x, y)
plt.plot(x, IM_2020_promedio_pred, color='red')
plt.show()
3.1 Encuentra las relaciones lineales de IM_2020 con las columnas de df_FEATURES. Reporta cuidadosamente tus conclusiones. Establece las relaciones encontradas en fórmulas matemáticas específicas.
El objetivo es encontrar la relacion IM_2020 = $\alpha_1$(P6A14NAE) + $\alpha_2$(SBASC) + $\alpha_3$(PSDSS) + $\alpha_3$(OVSDE) + $\alpha_4$(OVSEE) + $\alpha_5$(OVSAE) + $\alpha_6$(OVPT) + $\alpha_7$(OVHAC) + $\alpha_8$(OVSREF) + $\alpha_9$(OVSINT) + $\alpha_10$(OSCEL) + $\beta$
Calculamos
matriz_features = np.array(df_features)
IM_2020_x = df_indice["IM_2020"].values
LR = linear_model.LinearRegression()
LR.fit(matriz_features, IM_2020_x)
print('Coefficients: \n', LR.coef_)
print('Interceptor: \n', LR.intercept_)
Coefficients: [-0.18093874 -0.06602918 -0.07426677 -0.2829936 -0.33139186 -0.076051 -0.0989917 -0.0302336 -0.0543476 -0.01280568 -0.07258523] Interceptor: 128.01433686443082
En conclusion, la ecuación final tiene la siguiente forma:
$$IM_{2020} = -0.18093874(P6A14NAE) -0.06602918(SBASC) -0.07426677(PSDSS) -0.2829936(OVSDE) -0.33139186(OVSEE) -0.076051(OVSAE) -0.0989917(OVPT) -0.0302336(OVHAC) -0.0543476(OVSREF) -0.01280568(OVSINT) -0.07258523(OSCEL) + 128.0143.$$Se tiene que todas las variables tiene una relación negativa con el Índice de marginación 2020. Lo cual es logico dado el contexto , por que a mayor valores de necesidades ,menor sera el indice.
4.1 Aplica el procedimiento de componentes principales a la matriz df_FEATURES usando la paquetería PCA de sklearn.decomposition y define un índice alternativo IM_2020_ALT definido como la primera componente. En términos lineales ¿qué tan distintos son IM_2020 e IM_2020_ALT?
Construimos el PCA con 1 componente.
scaler = StandardScaler()
features_std = scaler.fit_transform(df_features)
pca = PCA(n_components=1)
im_2020_alt = pca.fit_transform(features_std)
im_2020_alt = pd.DataFrame(im_2020_alt)
im_2020_alt
| 0 | |
|---|---|
| 0 | 0.530195 |
| 1 | -2.949277 |
| 2 | -2.678283 |
| 3 | -2.095096 |
| 4 | -3.050207 |
| ... | ... |
| 50785 | 2.989604 |
| 50786 | 0.319560 |
| 50787 | 0.171311 |
| 50788 | 0.070130 |
| 50789 | -0.140398 |
50790 rows × 1 columns
Continuando con los calculos, pero ahora aplicacion 11 al paramatro componentes.
pca = PCA(n_components=11)
pca.fit(matriz_features)
PCA(n_components=11)
print(pca.explained_variance_ratio_)
print(pca.singular_values_)
[0.65575087 0.08479898 0.06687761 0.05531128 0.04416553 0.04177558 0.01695088 0.0141809 0.0128502 0.00432927 0.00300891] [7270.97626634 2614.68037669 2322.00769772 2111.68986159 1886.96998568 1835.20479131 1169.01319085 1069.24004791 1017.83680474 590.78684758 492.52463195]
Creando un data frame que contenga tres variables: ENT, referente a Entidad; IM_2020, referente al indice de marginación 2020; e im_2020_alt, que es el índice de marginación 2020 obtenido.
features_2 = ['NOM_ENT','IM_2020']
df_IM2020_alt_match = df_indice[features_2]
df_IM2020_alt_match.insert(loc=2,column='im_2020_alt',value= im_2020_alt[0] )
df_IM2020_alt_match = df_IM2020_alt_match.groupby(['NOM_ENT'], as_index = False).mean()
df_IM2020_alt_match
| NOM_ENT | IM_2020 | im_2020_alt | |
|---|---|---|---|
| 0 | Aguascalientes | 122.744526 | -1.224152 |
| 1 | Baja California | 121.109760 | -0.748306 |
| 2 | Baja California Sur | 121.819653 | -0.750074 |
| 3 | Campeche | 119.898810 | 0.367014 |
| 4 | Chiapas | 115.234129 | 2.331726 |
| 5 | Chihuahua | 121.870519 | -0.779999 |
| 6 | Ciudad de México | 122.225778 | -1.251578 |
| 7 | Coahuila de Zaragoza | 122.130486 | -0.917751 |
| 8 | Colima | 121.941324 | -0.809733 |
| 9 | Durango | 120.962324 | -0.342749 |
| 10 | Guanajuato | 120.458281 | -0.232871 |
| 11 | Guerrero | 115.999370 | 1.911189 |
| 12 | Hidalgo | 120.553485 | -0.231572 |
| 13 | Jalisco | 120.601200 | -0.521665 |
| 14 | Michoacán de Ocampo | 117.445382 | 0.882320 |
| 15 | Morelos | 120.177045 | -0.109915 |
| 16 | México | 119.909052 | -0.062127 |
| 17 | Nayarit | 121.018576 | -0.382343 |
| 18 | Nuevo León | 122.905922 | -1.323520 |
| 19 | Oaxaca | 115.411788 | 2.420923 |
| 20 | Puebla | 117.370099 | 1.419482 |
| 21 | Querétaro | 122.008867 | -1.019653 |
| 22 | Quintana Roo | 120.313282 | -0.181417 |
| 23 | San Luis Potosí | 121.115968 | -0.348239 |
| 24 | Sinaloa | 121.828786 | -0.687514 |
| 25 | Sonora | 121.433615 | -0.638968 |
| 26 | Tabasco | 120.178506 | 0.104517 |
| 27 | Tamaulipas | 121.061213 | -0.433739 |
| 28 | Tlaxcala | 119.041885 | 0.771926 |
| 29 | Veracruz de Ignacio de la Llave | 118.370474 | 0.747365 |
| 30 | Yucatán | 118.293150 | 0.834911 |
| 31 | Zacatecas | 121.175753 | -0.447017 |
df_IM2020_alt_match['IM_2020']=df_IM2020_alt_match['IM_2020']/100
ax = df_IM2020_alt_match.plot.barh()
index = df_IM2020_alt_match['NOM_ENT']
4.1. Estudia las relaciones lineales del IM_2020 con todas las componentes.
Se puede resolverse aplicando la Pseudoinversa de M-P. Además, dado que la matriz dffeatures es de dimensión 50790 × 11,ademas de rango 11 entonces $A^+ = A{left}^{-1} : R^{n} \rightarrow R$ y se alcanza el mínimo del problema $\min_{x} = \Vert Ax - b\Vert^{2}$ en un único punto en $R^m:$
$x^+ = A^+\space b = (A^{T}A)^{-1}A^{T}b$
Entonces en nuestro caso tenemos
$x^+ = df_{FEATURES}^+\space IM_{2020} = (df_{FEATURES}^{T}\space df_{FEATURES})^{-1}df_{FEATURES}^{T} \space IM_{2020}$
Para resolver la ecuación primero calculamos la transpuesta de la matriz de interés y obtenemos el producto de esta por la matriz original.
matriz_features.transpose()
matriz_features_2 = np.matmul(matriz_features.transpose(), matriz_features)
matriz_features_2
array([[2.85539669e+06, 9.28530946e+06, 7.77786991e+06, 2.69887530e+05,
1.82666603e+05, 1.08042820e+06, 1.18833217e+06, 8.17053916e+06,
3.09954813e+06, 1.39338913e+07, 2.49117073e+06],
[9.28530946e+06, 5.11897524e+07, 3.89054784e+07, 1.73449046e+06,
9.96532215e+05, 6.19528849e+06, 6.74842183e+06, 4.40349825e+07,
1.80770249e+07, 7.68783412e+07, 1.38909203e+07],
[7.77786991e+06, 3.89054784e+07, 3.98265579e+07, 9.48870903e+05,
6.40836504e+05, 4.58538969e+06, 4.69278897e+06, 3.55159067e+07,
1.30651458e+07, 6.00098771e+07, 1.02447572e+07],
[2.69887530e+05, 1.73449046e+06, 9.48870903e+05, 4.59050999e+05,
8.98117448e+04, 4.21631569e+05, 4.20729299e+05, 1.69652176e+06,
9.94145359e+05, 2.77451014e+06, 5.96435878e+05],
[1.82666603e+05, 9.96532215e+05, 6.40836504e+05, 8.98117448e+04,
3.15722857e+05, 4.19409597e+05, 3.45777792e+05, 9.69895530e+05,
7.35838631e+05, 1.65722544e+06, 3.22535916e+05],
[1.08042820e+06, 6.19528849e+06, 4.58538969e+06, 4.21631569e+05,
4.19409597e+05, 5.73570353e+06, 1.96934964e+06, 6.16763859e+06,
3.14282181e+06, 1.03055661e+07, 1.64497227e+06],
[1.18833217e+06, 6.74842183e+06, 4.69278897e+06, 4.20729299e+05,
3.45777792e+05, 1.96934964e+06, 2.63198001e+06, 6.48565066e+06,
3.59321944e+06, 1.07104850e+07, 2.15376127e+06],
[8.17053916e+06, 4.40349825e+07, 3.55159067e+07, 1.69652176e+06,
9.69895530e+05, 6.16763859e+06, 6.48565066e+06, 4.41165124e+07,
1.72115760e+07, 7.02858277e+07, 1.21381226e+07],
[3.09954813e+06, 1.80770249e+07, 1.30651458e+07, 9.94145359e+05,
7.35838631e+05, 3.14282181e+06, 3.59321944e+06, 1.72115760e+07,
1.12511747e+07, 2.93936807e+07, 6.24865392e+06],
[1.39338913e+07, 7.68783412e+07, 6.00098771e+07, 2.77451014e+06,
1.65722544e+06, 1.03055661e+07, 1.07104850e+07, 7.02858277e+07,
2.93936807e+07, 1.28983401e+08, 2.16040476e+07],
[2.49117073e+06, 1.38909203e+07, 1.02447572e+07, 5.96435878e+05,
3.22535916e+05, 1.64497227e+06, 2.15376127e+06, 1.21381226e+07,
6.24865392e+06, 2.16040476e+07, 5.85954213e+06]])
A continuacion se calcula la inversa de matriz_features_2. Se nombrará como matriz_features_3.
matriz_features_3 = np.linalg.inv(matriz_features_2)
matriz_features_3
array([[ 9.00313448e-07, -1.20896324e-07, -5.82515320e-08,
3.69994370e-08, -7.69726409e-08, 6.56840696e-09,
-1.27262247e-08, -2.29345751e-08, 3.94147993e-08,
9.72157369e-09, -2.13787282e-08],
[-1.20896324e-07, 2.80568319e-07, -4.56283175e-08,
-4.42436597e-08, 9.99156276e-09, 4.73413530e-09,
-2.76116369e-08, -6.14138211e-08, 1.31841270e-08,
-8.20985300e-08, -1.05324700e-07],
[-5.82515320e-08, -4.56283175e-08, 1.16859475e-07,
9.74091154e-08, 1.03142362e-08, -2.91419077e-09,
2.46689201e-08, -4.32238717e-08, 1.68200772e-08,
-5.49787001e-09, 1.75862516e-09],
[ 3.69994370e-08, -4.42436597e-08, 9.74091154e-08,
2.86604554e-06, -1.82525111e-07, -4.75088904e-08,
-1.16217118e-07, -7.77819164e-08, -1.20215187e-07,
1.01964009e-08, -5.50521241e-08],
[-7.69726409e-08, 9.99156276e-09, 1.03142362e-08,
-1.82525111e-07, 4.02952468e-06, -1.34297675e-07,
-2.40015492e-07, 4.51448703e-08, -2.63982553e-07,
-2.87855725e-09, 1.12311401e-07],
[ 6.56840696e-09, 4.73413530e-09, -2.91419077e-09,
-4.75088904e-08, -1.34297675e-07, 2.47207923e-07,
-1.41469976e-07, -7.37840857e-09, -2.88121281e-09,
-9.07105462e-09, 3.77094461e-08],
[-1.27262247e-08, -2.76116369e-08, 2.46689201e-08,
-1.16217118e-07, -2.40015492e-07, -1.41469976e-07,
8.23661807e-07, -4.42268547e-08, -1.28519657e-07,
1.34673543e-08, -3.12385173e-08],
[-2.29345751e-08, -6.14138211e-08, -4.32238717e-08,
-7.77819164e-08, 4.51448703e-08, -7.37840857e-09,
-4.42268547e-08, 2.34471941e-07, -5.63159567e-08,
-5.68676600e-08, 3.86873805e-08],
[ 3.94147993e-08, 1.31841270e-08, 1.68200772e-08,
-1.20215187e-07, -2.63982553e-07, -2.88121281e-09,
-1.28519657e-07, -5.63159567e-08, 3.50063462e-07,
-2.28140211e-08, -1.75140274e-07],
[ 9.72157369e-09, -8.20985300e-08, -5.49787001e-09,
1.01964009e-08, -2.87855725e-09, -9.07105462e-09,
1.34673543e-08, -5.68676600e-08, -2.28140211e-08,
9.68299271e-08, -1.80562434e-08],
[-2.13787282e-08, -1.05324700e-07, 1.75862516e-09,
-5.50521241e-08, 1.12311401e-07, 3.77094461e-08,
-3.12385173e-08, 3.86873805e-08, -1.75140274e-07,
-1.80562434e-08, 5.99883908e-07]])
Multiplicamos por la transpuesta
matriz_features_4 = np.matmul(matriz_features_3, matriz_features.transpose())
matriz_features_4
array([[ 8.43786846e-06, -1.16995289e-06, 1.68434325e-06, ...,
2.29963136e-07, -9.98634082e-07, -4.53465395e-06],
[-4.00351972e-06, -1.21375863e-08, -1.83305163e-06, ...,
3.79541767e-06, -4.27440419e-06, 2.47414670e-06],
[-8.96582914e-07, 2.07794451e-06, 8.73886348e-07, ...,
-1.61201061e-06, -1.13944839e-06, -2.25895319e-06],
...,
[ 3.74676121e-06, 1.76829818e-07, -3.41299564e-07, ...,
1.82673368e-07, -1.57824594e-07, -7.46780168e-07],
[ 2.73473580e-06, -3.94864143e-07, 1.00025679e-06, ...,
7.43162022e-07, 3.05940776e-06, 2.75104246e-06],
[-3.98202141e-06, -1.58329707e-07, -9.54158349e-08, ...,
5.41736623e-07, -2.70432726e-06, -2.85111290e-06]])
Y para terminar multiplicamos este ultimo por el vector, obteniendo x
x = np.matmul(matriz_features_4, df_indice['IM_2020'])
x
array([ 1.52552093, 0.20761029, 2.10285606, -0.59841763, 0.88961968,
-0.41067825, -1.30031258, 0.94598087, -1.51120149, 0.60319753,
0.81715055])
El arreglo $x$ representa las $11$ compontnes que satisfacen la ecuación
$$IM_{2020}= x_1 (P6A14NAE)+ x_2 (SBASC) +\ldots + x_{11} (OSCEL)$$Usando las componentes del arreglo $x$, esta ecuación se reescribe como
$$IM_{2020}= 1.52552093 (P6A14NAE)+ 0.20761029 (SBASC) +\ldots + 0.81715055 (OSCEL)$$,
donde se muestran las relaciones lineales del IM_2020.